Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 12 - Matrices - Chapter Review - Page 818: 6

Answer

$\begin {bmatrix} 5&-4 \\ 5& 0 \end {bmatrix}$

Work Step by Step

In order to subtract two matrices, they must have same dimensions. Since, the given matrices have same dimensions, so they can be added. Subtracting the given matrices to obtain: $\begin {bmatrix} 0&2 \\ -4&-1 \end {bmatrix} - \begin {bmatrix} -5&6 \\ -9&-1 \end {bmatrix} \\=\begin {bmatrix} 0-(-5)&2-6 \\-4-(-9)& -1-(-1) \end {bmatrix} \\=\begin {bmatrix} 5&-4 \\ 5& 0 \end {bmatrix}$
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